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Finding the Third Proportional to 150,301 and 328,303

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Solution

The third proportional to 150,301 and 328,303 is: 717,113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,301 : 328,303 = 328,303 : x
  2. Step 2: Convert to fraction form
    150,301/328,303 = 328,303/x
  3. Step 3: Cross multiply
    150,301x = 328,303 × 328,303
  4. Step 4: Simplify right side
    150,301x = 107,782,859,809
  5. Step 5: Solve for x
    x = 107,782,859,809/150,301
  6. Step 6: Final answer
    x = 717,113.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.